No products in the cart.

Prove that : a cos A …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Prove that : a cos A +b cos B+ c cos C=2 a sin B sin C
  • 1 answers

Ram Kushwah 6 years, 10 months ago

We know     a / sin A  =  b / sin B  = c / sin C.
                   b = a cos C + c Cos A
                   c = a Cos B + b cos A

LHS = a cos A + (a cos C + c cos A) cos B + (a cos B + b Cos A) cos C
        = a cos A + cos A (c cos B + b Cos C) + 2 a Cos C Cos B
        = a cos A  + cos A * a + 2 a cos C cos B
        = 2a [cos A + Cos C Cos B]
        = 2 a [ cos (π-B-C) + cos C cos B]
        = 2 a [- cos (B+C) + cos C cos B]
        = 2 a Sin B sin C

Read more on Brainly.in - https://brainly.in/question/1122558#readmore

https://examin8.com Test

Related Questions

2nC2:nC3=33:10
  • 0 answers
Ch 1 ke questions
  • 1 answers
(3+i)x + (1-2i) y +7i =0
  • 1 answers
Express the complex number i-39
  • 0 answers
Find the product. (4x²) (–5³)
  • 0 answers
Square of 169
  • 1 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Download myCBSEguide App